Finding the Third Proportional to 73,776 and 158,071

Step by Step Solution

1. Step 1: Write the proportion equation
   73,776 : 158,071 = 158,071 : x
2. Step 2: Convert to fraction form
   73,776/158,071 = 158,071/x
3. Step 3: Cross multiply
   73,776x = 158,071 × 158,071
4. Step 4: Simplify right side
   73,776x = 24,986,441,041
5. Step 5: Solve for x
   x = 24,986,441,041/73,776
6. Step 6: Final answer
   x = 338,679.80